ISRO Mechanical & Aerospace 2014 - Question 39

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Topic: Fluid Mechanics

In case of steady incompressible laminar viscous flow between two stationary parallel plates, the velocity distribution is

  • A. Linear
  • B. Quadratic
  • C. Parabolic
  • D. Hyperbolic

Answer: C. Parabolic

Explanation: For a steady incompressible laminar viscous flow between two stationary parallel plates, the velocity profile depends on the pressure gradient and viscosity. The derived velocity equation is $u = -\frac{1}{2\mu}(\frac{\partial P}{\partial x})(ty - y²)$, which is clearly a parabolic distribution across the distance between the plates.

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